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Finding the Third Proportional to 37,385.78 and 57,464.63

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Solution

The third proportional to 37,385.78 and 57,464.63 is: 88,327.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,385.78 : 57,464.63 = 57,464.63 : x
  2. Step 2: Convert to fraction form
    37,385.78/57,464.63 = 57,464.63/x
  3. Step 3: Cross multiply
    37,385.78x = 57,464.63 × 57,464.63
  4. Step 4: Simplify right side
    37,385.78x = 3,302,183,126.39
  5. Step 5: Solve for x
    x = 3,302,183,126.39/37,385.78
  6. Step 6: Final answer
    x = 88,327.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.